# Video Tutorial – The Hazard Function is the Probability Density Function Divided by the Survival Function

March 17, 2014 2 Comments

In an earlier video, I introduced the definition of the **hazard function** and broke it down into its mathematical components. Recall that the definition of the hazard function for events defined on a continuous time scale is

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Did you know that the hazard function can be expressed as the **probability density function (PDF)** divided by the **survival function**?

In my new **Youtube video**, I prove how this relationship can be obtained from the definition of the hazard function! I am very excited to post this second video in **my new Youtube channel**.

Thanks for the explanation. The first time someone explained what appears to be a fact in most text books! I suggest you break down the partial likelihood in Cox models as well 🙂

I’m glad that it was useful to you! I will discuss Cox models and partial likelihoods eventually – thanks for the suggestion!